Erratum

In the article “Ultrasonic measurement and elastic properties of the PbO-SrO-B₂O₃ glass system”, DOI number https://doi.org/10.1590/S1983-41952020000400015, published in IBRACON Structures and Materials Journal ISSN 1983-4195, v.13, n.4, e13415, 2020, on page 1-7:

2 CHARACTERIZATION TECHNIQUES

2.2 Density and molar volume

Where it reads:

$\rho ={\rho }_H\left(\frac{m_a}{m_d}\right)$(Eq. 1.0)

“ Where, ρ is the density, ρ_H is the density of the water, m_a and m_d are the mass of the sample in the air and the mass of the submerged sample, respectively.”

It should be read:

$\rho ={\rho }_H\left(\frac{m_a}{m_d}\right)$ or $\rho ={\rho }_H\left(\frac{m_a}{{\text{m}}_{\text{2}}{\text{-(m}}_{\text{3}}{\text{-m}}_{\text{1}}\text{)}}\right)$(Eq. 1.0)

Where ρ is the density, ρ_H is the density of the water, m_a is the mass of the sample in the air, m_d is the mass of the submerged sample, m₁ is the solid sample mass, m₂ is the pycnometer mass totally filled with distilled water, and m₃ is the pycnometer mass + remaining distilled water + solid sample mass.”

2.3 Ultrasonic measurements

Where it reads:

“$V_{ms}=[\frac{1}{3}{\left(\frac{2}{V{s}^3}\left(\frac{1}{V_L^3}\right)\right]}^3$(Eq.1.3)”

It should be read:

“ $V_{ms}={[\frac{1}{3}\left(\frac{2}{V{s}^3}+\frac{1}{V_L^3}\right)]}^{-1/3}$(Eq. 1.3)”

3 RESULTS AND DISCUSSION

3.2 Ultrasonic study

Where it reads:

“$V_L{}^2=\sqrt{\frac{k}{\rho }}$(Eq. 1.4)”

Having k as volumetric modulus of elasticity,

It should be read:

“ $V_L=\sqrt{\frac{L}{\rho }}$(Eq. 1.4)”

Having L longitudinal module,

Where it reads:

Figure 2
Variation of elastic modules for the BPS glass system. Source: the autors (2018).

It should be read:

Figure 2
Variation of elastic modules for the BPS glass system. Source: the autors (2018).

Where it reads:

Table 2
Longitudinal Velocity (V_L), Transverse velocity (V_s), Average sound velocity (V_ms), Longitudinal Module (L), Transversal Modulus (G), Bulk Module (K) e Young's Module (E).

Glasses	VL	VS	Vms	L	G	K	E
	(m/s)	(m/s)	(m/s)	(10^10 N/m2)	(10^10 N/m2)	(GPa)
BPS-1	4918,67	2951,202	3264,75	103,06	37,10	53,59	75,42
BPS-2	4626,00	2775,6	3070,49	93,09	33,51	48,41	68,24
BPS-3	4541,33	2724,798	3014,29	91,36	32,89	47,51	66,99
BPS-4	4361,00	2616,6	2894,60	85,96	30,95	44,69	63,12
BPS-5	4209,00	2525,4	2793,71	82,91	29,85	43,11	60,92
BPS-6	4104,00	2462,4	2724,01	81,18	29,23	42,21	59,68

It should be read:

Table 2
Longitudinal Velocity (V_L), Transverse velocity (V_s), Average sound velocity (V_ms), Longitudinal Module (L), Transversal Modulus (G), Bulk Module (K) e Young's Module (E).

Glasses	VL	VS	Vms	L	G	K	E
	(m/s)	(m/s)	(m/s)	(GPa)	(GPa)	(GPa)	(GPa)
BPS-1	4918,67	2951,202	3264,75	103,06	37,10	53,59	90,44
BPS-2	4626,00	2775,6	3070,49	93,09	33,51	48,41	81,69
BPS-3	4541,33	2724,798	3014,29	91,36	32,89	47,51	80,17
BPS-4	4361,00	2616,6	2894,60	85,96	30,95	44,69	75,43
BPS-5	4209,00	2525,4	2793,71	82,91	29,85	43,11	72,75
BPS-6	4104,00	2462,4	2724,01	81,18	29,23	42,21	71,26

Where it reads:

Table 3
Debye Temperature $({\theta }_d)$, Poisson Coefficient $(\sigma )$, Acoustic Impedance (Z) and Coefficient of Thermal Expansion (A).

Glasses	${\theta }_d$	$\sigma$	Z	A
			(10-7 kg / m2.s)
BPS-1	411,7409	0,21879	2,09	114099,81
BPS-2	382,5736	0,21878	2,01	107309,87
BPS-3	371,1051	0,21874	2,01	105345,53
BPS-4	352,6334	0,21869	1,97	101161,87
BPS-5	338,7643	0,21872	1,96	97635,47
BPS-6	328,3990	0,21867	1,98	95199,47

It should be read:

Table 3
Debye Temperature $({\theta }_d)$, Poisson Coefficient $(\sigma )$, Acoustic Impedance (Z) and Coefficient of Thermal Expansion (A).

Glasses	${\theta }_d$	$\sigma$	Z	A
	K		(107 kg / m2.s)	10-6 K-1
BPS-1	411,7409	0,21879	2,09	11,41
BPS-2	382,5736	0,21878	2,01	10,73
BPS-3	371,1051	0,21874	2,01	10,53
BPS-4	352,6334	0,21869	1,97	10,12
BPS-5	338,7643	0,21872	1,96	9,76
BPS-6	328,3990	0,21867	1,98	9,52

3.3 FTIR infrared spectroscopy

Where it reads:

The spectrum in region (I) has bands close to 2300-2350 cm^-1, the vibrations of different C-O bonds or ambient CO2 concentrations in the Infrared [14] are attributed, these are not part of the glass structures.

It should be read:

The spectrum in region (I) has bands close to 2300-2350 cm^-1, the vibrations of different C=O bonds of ambient CO₂ concentrations in the Infrared [14] are attributed, these are not part of the glass structures.

ACKNOWLEDGEMENTS

To Prof. Salmon Landi Jr. for contributing the information that resulted this errata document.

Publication Dates

• Publication in this collection
  02 July 2021
• Date of issue
  2021